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0111 · Jun 201019922001200920172026
3 results for strictification

The paper discusses strictification and non-strictification of monoidal categories.

problem Transforming monoidal categories into strict or non-strict ones.
method Explicit models and 2-adjunctions for strictification and non-strictification.
result Strictification and non-strictification are part of a pair of free-forgetful 2-adjunctions.

We define stacky Lie groups to be group objects in the 2-category of differentiable stacks. We show that every connected and etale stacky Lie group is equivalent to a crossed module of the form (H,G) where H is the fundamental group of the given stacky Lie group and G is the connected and simply connected Lie group int…

2010-06-07abs ↗pdf ↗